Category Archives: TUTORIALS

Detailed tutorials explaining how to build most common applications, in different languages.

Using Oauth2 to sign-in users with Apple using Java Script Library

Example project here

<html>
    <head>
      <style>
        h1 {
          text-align: center;
        }

        #welcomePanel {
          display: none;
          text-align: center;
        }

        #signInPanel h2 {
          text-align: center;
          border: 1px solid silver;
        }

        #google-auth-button {
          -webkit-box-align: baseline;
          align-items: baseline;
          border-width: 0px;
          border-radius: 3px;
          box-sizing: border-box;
          display: inline-flex;
          font-size: inherit;
          font-style: normal;
          font-family: inherit;
          max-width: 100%;
          position: relative;
          text-align: center;
          text-decoration: none;
          transition: background 0.1s ease-out 0s, box-shadow 0.15s cubic-bezier(0.47, 0.03, 0.49, 1.38) 0s;
          white-space: nowrap;
          cursor: pointer;
          padding: 0px 10px;
          vertical-align: middle;
          width: 100%;
          -webkit-box-pack: center;
          justify-content: center;
          font-weight: bold;
          color: var(--ds-text,#42526E) !important;
          height: 40px !important;
          line-height: 40px !important;
          background: rgb(255, 255, 255) !important;
          box-shadow: rgb(0 0 0 / 20%) 1px 1px 5px 0px !important;
        }
      </style>
      <!-- First we have to include Apple Sign-in script -->
      <script
        type="text/javascript"
        src="https://appleid.cdn-apple.com/appleauth/static/jsapi/appleid/1/en_US/appleid.auth.js"></script>
    </head>
    <body>
      <script>

        function parseJwt (token) {
            var base64Url = token.split('.')[1];
            var base64 = base64Url.replace(/-/g, '+').replace(/_/g, '/');
            var jsonPayload = decodeURIComponent(window.atob(base64).split('').map(function(c) {
                return '%' + ('00' + c.charCodeAt(0).toString(16)).slice(-2);
            }).join(''));

            return JSON.parse(jsonPayload);
        }

        /**
         * This function will initialize the `AppleID.auth` object with parameter we pass in.
         */
       
        const initApple = () => {
          window.AppleID.auth.init({
            clientId: "com.toni-develops.sign-in-with-apple-identifier", // This is the service ID we created.
            scope: "name email", // To tell apple we want the user name and emails fields in the response it sends us.
            redirectURI: "https://www.toni-develops.com/external-files/examples/oauth-with-apple-using-js-library", // As registered along with our service ID
            state: "origin:web", // Any string of your choice that you may use for some logic. It's optional and you may omit it.
            usePopup: true, // Important if we want to capture the data apple sends on the client side.
          });
        };        
        
        
        /**
         * This function is where the magic happens.
         * This is a simple example, ideally you'll have catch block as well to handle authentication failure.
         */
        const singInApple = async () => {
          const response = await window.AppleID.auth.signIn();

          return response;
        };     
        
        initApple();


        function signInWithApple() {
          const userData = singInApple();

          userData.then( (data) => {
            console.dir(data, { depth: null });
            const result = parseJwt(data.authorization.id_token)
            console.dir(result, { depth: null });

            document.querySelector('#signInPanel').innerHTML = '<h2>Welcome ' + result.email + '</h2>';
          });
        }
      </script>
      <h1>Sign-In with Apple using Java Script library example</h1>
      <div id="signInPanel">
        <button id="google-auth-button" class="css-11s2kpt" type="button" tabindex="0" onclick="signInWithApple()">
          <span class="css-1ujqpe8">
            <img class="appleLogo" src="https://www.toni-develops.com/external-files/examples/assets/apple-logo.svg" alt="">
          </span>
          <span class="css-19r5em7"><span>Continue with Apple</span>
        </button> 
      </div>
    </body>
</html>

 

Sign-in with Apple prerequisite

In order to add Sign-In with Apple we have to do the following:

  1. Create an App ID.
  2. Create a Service ID.
  3. Register the domains for your website.

Create App ID

  • Select App and click continue

  • add description and Bundle ID following reverse domain recommendation by Apple

 

  • confirm and hit register

 

 

Register Service ID

  • Go back to https://developer.apple.com/account/resources/identifiers/add/bundleId
  • this time select “Service ID” and click continue

  • add description and identifier

  • select identifier that you just created

  • check the checkbox to configure the identifier and hit configure

  • add the domain and the Return URLs (Make a note of the return url since we have to add it into our Java Script code later)

.

 

Using oAuth2.0 to sign-in with Google using redirect method

No library required

In this example we have the main app (in this case my blogpost) with a Log-in button (Log in Example, above ), that redirects to the Log-In app, which on the other hand redirects to selected Log-In service (Google, Apple, Facebook, Github) passing app id an all necessary log in data.

After the user grant permissions to share requested data (email, username, real name, etc.) called scope, authentication service is calling back our app service, passing code which our service is using to make HTTP request to the provider and exchange it for JWT (Jason Web Token) containing requested user information.

Create Authorization credentials

  • Navigate to https://console.cloud.google.com/apis/credentials  and click on the + CREATE CREDENTIALS on the top left of the page.
  • on Authorized Java Script Origins add the domain from where the WEB app will be served. You could use http://localhost if you like.
  • on Authorized Redirect URIs add authentication service callback script that Google will call to pass code that could be exchanged for JWT (JSON Web Token) containing user’s information requested.

On the top right corner you will see ClientID and App secret. Write them down since we are going to need them in our authentication service later on.

Create main WEB app and authentication service

We will create main WEB app and authentication service that main app will use. This way same authentication service could be used for different WEB aps.

(Main web app) with Log In button, that redirects to the authentication app.

Let’s get started by creating simple WEB app that will have Log In button, that will simply redirect to our log in service. I already did that in the “Log In Example” above.

index.html

<html>
  <head>
    <style>
     ...
    </style>
  </head>

  <body>
    <!-- there is no Java script involved at all -->
    <div id="log_in_wrapper">
      <button class='continue_with_google'>
        <a href='https://log-in-service-app/index.html'>
          Log In
        </a>
      </button>
    </div>
  </body>
</html>

Nothing fancy happens here. We have button that simply redirects to our authentication service, which draws log-in with  buttons (with Google, Apple, Facebook, GitHub)

(Authentication app) that shows log-in with  buttons (with Google, Apple, Facebook, GitHub)

index.php

<html>
  <head>
    <style>
      ...
    </style>
  </head>

  <body>
    <!-- there is no Java script involved at all -->
    <div id="log_in_wrapper">
      <button class='continue_with_google'>
        <a href='step-1-auth-google-get-redirect.php'>
          <img src="some-google-logo"/>
          <span>Continue with Google</span>
        </a>
      </button>
    </div>
  </body>
</html>

This is just another Web app that shows log in buttons. We could skip this step and simply have this buttons in the main WEB app.

For simplicity I only added Log In With google.

This button redirects to step-1-auth-google-get-redirect.php the first part of our authentication service.

 

Creating config file

<?php

// Fill these out with the values you got from Google
$googleClientID = '989056576533-mtef8cl5is5ogjh3np580ireurns7l5k.apps.googleusercontent.com';
$googleClientSecret = 'xxxxxxxxxxxxxx';

// This is the URL we'll send the user to first to get their authorization
$authorizeURL = 'https://accounts.google.com/o/oauth2/v2/auth';

// This is Google's OpenID Connect token endpoint
$tokenURL = 'https://www.googleapis.com/oauth2/v4/token';

// The main application URL. Google will pass JWT token back to the main app
$baseURL = 'https://www.toni-develops.com/external-files/examples/oauth-with-google-with-redirect-step-by-step/step-2-auth-google-redirect.php';

$usserInfoURL = 'https://www.googleapis.com/oauth2/v3/userinfo';

// the initial app url
$initialAppURL = 'https://www.toni-develops.com/2023/01/05/using-oauth2-0-to-log-in-with-google-using-redirect/';

 

After selecting to log-in with desired authentication provider, call backend service to prepare all necessary parameters and call selected authentication service (Google, Apple, Facebook, GitHub)

step-1-auth-google-get-redirect.php

<?php
// add Google app config params
include 'google-config.php';

// Start a session so we have session id to make sure that the redicect is instantiated by this script
$sessionId = '123';

// ####################################################
// STEP 1: Start the login process by sending the user
// to Google's authorization page, 
// and passing app params
// ####################################################


  // Generate a random hash and store in the session to make sure that 
  //$_SESSION['state'] = bin2hex(random_bytes(16));

  $params = array(
    'response_type' => 'code',
    'client_id'     => $googleClientID,
    'redirect_uri'  => $baseURL,
    'scope'         => 'openid email profile',
    'state'         => $sessionId
  );

  // Redirect the user to Google's authorization page, passing the above parameters as a GET request
  header('Location: ' . $authorizeURL . '?' . http_build_query($params));

This simply redirects to the authentication service. In this case Google, passing these parameters:

  • response_type – we requesting code in the response which we are going to exchange it for JWT
  • client_id – is the app id that we registered
  • redirect_url – is our authentication service url, that Google will call passing code parameter. Here we are going to exchange it for JWT In this example this is step-2-auth-google-redirect.php` script below.
  • scope – is the requested scope. In our example we just need user name and email: openid email profile
  • state – this is unique string identifier, that we will check in the callback to make sure that this sign-in workflow is originated by our script

Everything that happens in the above file, could be achieved by simply passing this url in the browser. If you examine the url, it simply passes the same get parameters and query string params.

Next step: Google calls our callback script, passing code which our script exchange for JWT containing user info

step-2-auth-google-redirect.php

<?php
// add Google app config params
include 'google-config.php';

// ####################################################
// Step 2: When Google redirects the user back here, 
// there will be a "code" and "state"
// parameter in the query string
// Exchange the auth code for a JWT token,
// and extract requested user data from there
// ####################################################
if(isset($_GET['code'])) {
  
  // Verify the state matches our stored state
  if(!$_GET['state'] && $_GET['state'] !== '123') {    
    die('missing state!');
  }
  
  // Exchange the auth code for a token
  $ch = curl_init($tokenURL);
  curl_setopt($ch, CURLOPT_RETURNTRANSFER, true);
  curl_setopt($ch, CURLOPT_POSTFIELDS, http_build_query([
    'grant_type' => 'authorization_code',
    'client_id' => $googleClientID,
    'client_secret' => $googleClientSecret,
    'redirect_uri' => $baseURL,
    'code' => $_GET['code']
  ]));

  $response = curl_exec($ch);

  // $data will contain 
  // access_token, 
  // expires_in, 
  // scope, 
  // token_type, 
  // id_token - which is JWT token, containing user data according to requested scope from the initial script.
  $data = json_decode($response, true);
  //echo '<pre>';print_r($data);die("</pre>");

  // Note: You'd probably want to use a real JWT library
  // but this will do in a pinch. This is only safe to do
  // because the ID token came from the https connection
  // from Google rather than an untrusted browser redirect

  // Split the JWT string into three parts
  $jwt = explode('.', $data['id_token']);

  // Extract the middle part, base64 decode it, then json_decode it
  $IDToken = json_decode(base64_decode($jwt[1]), true);
  
  // This step is required only if we want to get extra info
  /*
  $ch = curl_init($usserInfoURL);
  curl_setopt($ch, CURLOPT_RETURNTRANSFER, true);
  curl_setopt($ch, CURLOPT_HTTPHEADER, [
    'Authorization: Bearer '.$data['access_token']
  ]);
  $userInfo = curl_exec($ch);
  */
  /*
  echo '<h1>Token ID</h1>';
  echo '<pre>';print_r($IDToken);echo '</pre>';
  echo '<h1>User info</h1>';
  echo '<pre>';print_r($userInfo);die('</pre>');
  */

  $params = array(
    'email'       => $IDToken['email'],
    'user_name'   => $IDToken['name'],
    'given_name'  => $IDToken['given_name'],
    'family_name'  => $IDToken['family_name']
  );

  // Redirect the user to the initial app passing user data as Query String parameters so the front end could use them.
  header('Location: ' . $initialAppURL . '?' . http_build_query($params));
}
else {
  echo 'Bad response. Missing `code` GET response';
}

line 19-30: we make curl request to Google service passing:

  • grant_type – authorization_code
  • client_id – App id
  • client_secret – App secret
  • redirect_uri – should be url registered in Authorized redirect URLs

  • code – this is the code returned by Google as GET parameter

Last step: We are redirecting back to the main app, passing parameters that front end needs (email, user name) as GET or POST params.

Additionally we could save the user into our database, or do some additional work before redirecting to the main app (line 76)

 

Using Oauth2 to sign-in users with Google using Google Java Script Library

Example project here:  Sign-in with Google using Google Java Script library

 

  • Main project
<head>
  <style>
    #signIn {
      width: 80%;
      height: 50%;
      display: none;
    }

    span {
      border: 1px solid silver;
      padding: 10px;
      cursor: pointer;
      font-size: 10px;
    }
  </style>
  <script>
    function userLoggedIn(userObject) {
      document.getElementById('signIn').style.display = 'none';
      document.getElementById('head').innerHTML = `Wellcome ${userObject.given_name} ${userObject.family_name} ! <hr/>email: ${userObject.email} `;
    }

    function showLogInPopup() {
      document.getElementById('signIn').style.display = 'block';
    }
  </script>  
</head>

<body>
  <h1 id="head">Integrating Google Sign-in for Websites with Google library. <span onclick="showLogInPopup()">Log In</span></h1>

  <iframe id="signIn" src="google-sign-in.html"></iframe>
</body>
  • create iFrame with the log in button
<head>
    <script src="https://accounts.google.com/gsi/client" async defer></script>
    <script>
        function userLoggedIn(credential) {
            document.getElementById('log-in-iframe').style.display = 'none';
            alert(credential);
        }
    </script>
</head>

<body>
    Log in with Google
    <div id="log-in-button">
        <div id="g_id_onload"
            data-client_id="989056576533-mtef8cl5is5ogjh3np580ireurns7l5k.apps.googleusercontent.com"
            data-context="signin"
            data-response-type="code"
            data-ux_mode="popup"
            data-login_uri="https://www.toni-develops.com/external-files/examples/oauth-with-google-with-popup/callback.php"
            data-itp_support="true"
            data-auto_prompt="false">
        </div>

        <div class="g_id_signin"
            data-type="standard"
            data-shape="rectangular"
            data-theme="filled_blue"
            data-text="signin_with"
            data-size="large"
            data-logo_alignment="left">
        </div>   
    </div>
</body>
  • create callback
<html>
<head>
</head>

<body>
  <pre>
  <?php
    $token = $_POST['credential'];
    $userObject = json_decode(base64_decode(str_replace('_', '/', str_replace('-','+',explode('.', $token)[1]))));
    print_r($userObject);
  ?>  
  </pre>
  <script>
  var userObject = {
    given_name : "<?php echo $userObject->given_name ?>",
    family_name : "<?php echo $userObject->family_name ?>",
    email : "<?php echo $userObject->email ?>"
  }

  function passUserObjectToParentDocument(userObject) {
    parent.userLoggedIn(userObject);
  }
  </script>
  <button onclick="passUserObjectToParentDocument(userObject)">continue</button>
</body>
</html>

 

Example project here:  Sign-in with Google using Google Java Script library

Longest Common Substring

[tabby title=”Task”]

Given two strings text1 and text2, return the length of their longest common subsequenceIf there is no common subsequence, return 0.

subsequence of a string is a new string generated from the original string with some characters (can be none) deleted without changing the relative order of the remaining characters.

  • For example, "ace" is a subsequence of "abcde".

common subsequence of two strings is a subsequence that is common to both strings.

 

Example 1:

Input:

 text1 = "abcde", text2 = "ace" 

Output:

 3  

Explanation:

 The longest common subsequence is "ace" and its length is 3.

Example 2:

Input:

 text1 = "abc", text2 = "abc"

Output:

 3

Explanation:

 The longest common subsequence is "abc" and its length is 3.

Example 3:

Input:

 text1 = "abc", text2 = "def"

Output:

 0

Explanation:

 There is no such common subsequence, so the result is 0.

 

Constraints:

  • 1 <= text1.length, text2.length <= 1000
  • text1 and text2 consist of only lowercase English characters.

This problem was taken from Leetcode Longest Common Subsequence

 

[tabby title=”Solution”]

Dynamic programming with memoization.

We create a matrix to store (memoize) the response from previous calculations so we won’t re-calculate them again.

We are starting from the first row comparing every character from column 1 with the first character from row one.

There are two cases:

  • either the character match, then we add 1 and add it with the value from the diagonal to the left of the cell where we are.

Longest Common Substring Step 1

  • the characters don’t match, then we get the MAX of the value above current cell  and the value to the left of the current cell.

Longest Common Substring Step 2

Here again c int the column (first string) matches c in the row (the second string)

so we get the value of last comparison (to the left and up diagonal of the current cell)  which is 1 and add 1 again since characters match.

Longest Common Substring 3

and keep going till we reach the end of both strings which is the answer.

 

Longest Common Substring 4

 

/**
 * @param {string} text1
 * @param {string} text2
 * @return {number}
 */
var longestCommonSubsequence = function(text1, text2) {
    var txt1 = text1.split('');
    var txt2 = text2.split('');

    txt1.unshift('0');
    txt2.unshift('1');

    var l1 = txt1.length;
    var l2 = txt2.length;

    var matrix = [];
    for(var i = 0; i < l2; i ++) {
        matrix[i] = new Array(l1).fill(0);
    }

    var maxCommon = 0;
    
    for(var row = 0; row < l2; row ++) {
        for(var col = 0; col < l1; col ++) {
            var last = 0;

            if(txt1[col] == txt2[row]) {
                var previousDiagonalRowVal = row == 0 || col == 0  ? 0 : matrix[row - 1][col - 1];
                last =  1 + previousDiagonalRowVal;
            }
            else {
                var prevUp = row == 0 ?  0 : matrix[row - 1][col];
                var prevLeft = col == 0 ? 0 : matrix[row][col - 1];               
                last = Math.max(prevUp, prevLeft);
            }
            matrix[row][col] = last;
            maxCommon = last > maxCommon ? last : maxCommon;
    
        }
    }    
    return maxCommon;
};

var text1 = "abcde", text2 = "ace";
var r = longestCommonSubsequence(text1, text2);
console.log(">>", r);

[tabbyending]

Copy List with Random Pointer

[tabby title=”Task”]

 

A linked list of length n is given such that each node contains an additional random pointer, which could point to any node in the list, or null.

Construct a deep copy of the list. The deep copy should consist of exactly n brand new nodes, where each new node has its value set to the value of its corresponding original node. Both the next and random pointer of the new nodes should point to new nodes in the copied list such that the pointers in the original list and copied list represent the same list state. None of the pointers in the new list should point to nodes in the original list.

For example, if there are two nodes X and Y in the original list, where X.random --> Y, then for the corresponding two nodes x and y in the copied list, x.random --> y.

Return the head of the copied linked list.

The linked list is represented in the input/output as a list of n nodes. Each node is represented as a pair of [val, random_index] where:

  • val: an integer representing Node.val
  • random_index: the index of the node (range from 0 to n-1) that the random pointer points to, or null if it does not point to any node.

Your code will only be given the head of the original linked list.

 

Example 1:

Input:

 head = [[7,null],[13,0],[11,4],[10,2],[1,0]]

Output:

 [[7,null],[13,0],[11,4],[10,2],[1,0]]

Example 2:

Input:

 head = [[1,1],[2,1]]

Output:

 [[1,1],[2,1]]

Example 3:

Input:

 head = [[3,null],[3,0],[3,null]]

Output:

 [[3,null],[3,0],[3,null]]

 

Constraints:

  • 0 <= n <= 1000
  • -104 <= Node.val <= 104
  • Node.random is null or is pointing to some node in the linked list.

This problem was taken from https://leetcode.com/problems/copy-list-with-random-pointer/

[tabby title=”Solution”]

 

Brute force using tree traversal

 

/**
 * // Definition for a Node.
 * function Node(val, next, random) {
 *    this.val = val;
 *    this.next = next;
 *    this.random = random;
 * };
 */

/**
 * @param {Node} head
 * @return {Node}
 */
var copyRandomList = function(head) {


    function dfsTraverse(node, visited={}) {
        if(!node) {
            return null;
        }
        
        // if a new node is created, return it. Otherwise you will fall into circular loops
        if(node?.clone) {
            return node?.clone;    
        }
        
        var newNode = new Node(node?.val, null, null);
        node.clone = newNode;
        var next = dfsTraverse(node?.next);
        var random = dfsTraverse(node?.random);

        newNode.next = next;
        newNode.random = random;
        return newNode;
    }

    var result = dfsTraverse(head);
    return result;
};

function Node(val, next, random) {
    this.val = val;
    this.next = next;
    this.random = random;
}
;// [1,null],[2,0],[3,1]

var nodes = {};
nodes['1'] = new Node(1,null,null);
nodes['2'] = new Node(2,null,null);
nodes['3'] = new Node(3,null,null);

nodes['1'].next = nodes['2'];
nodes['1'].random = null;

nodes['2'].next = nodes['3'];
nodes['2'].random = nodes['1'];

nodes['3'].next = null;
nodes['3'].random = nodes['2'];

//console.log("root");
//console.log(nodes['7']);
var result = copyRandomList(nodes['1']);
console.log(result);

 

 

More elegant solution

 

/**
 * // Definition for a Node.
 * function Node(val, next, random) {
 *    this.val = val;
 *    this.next = next;
 *    this.random = random;
 * };
 */

/**
 * @param {Node} head
 * @return {Node}
 */
var copyRandomList = function(head) {
  let cur = head;
  const copy = new Map();

  // add all new nodes and values for now
  while (cur) {
    copy.set(cur, new Node(cur.val));
    cur = cur.next;
  }
  
  cur = head;

  // iterate again and point curent node to the newly created nodes using the key 
  while (cur) {
    copy.get(cur).next = copy.get(cur.next) || null;
    copy.get(cur).random = copy.get(cur.random) || null;
    cur = cur.next;
  }
  
  return copy.get(head);
}


function Node(val, next, random) {
    this.val = val;
    this.next = next;
    this.random = random;
};


// [1,null],[2,0],[3,1]

var nodes = {};
nodes['1'] = new Node(1,null,null);
nodes['2'] = new Node(2,null,null);
nodes['3'] = new Node(3,null,null);

nodes['1'].next = nodes['2'];
nodes['1'].random = null;

nodes['2'].next = nodes['3'];
nodes['2'].random = nodes['1'];

nodes['3'].next = null;
nodes['3'].random = nodes['2'];


var result = copyRandomList(nodes['1']);
console.log(result);

 

 

[tabbyending]

Range Sum of BST

[tabby title=”Task”]

Given the root node of a binary search tree and two integers low and high, return the sum of values of all nodes with a value in the inclusive range [low, high].

 

Example 1:

Input:

 root = [10,5,15,3,7,null,18], low = 7, high = 15

Output:

 32

Explanation:

 Nodes 7, 10, and 15 are in the range [7, 15]. 7 + 10 + 15 = 32.

Example 2:

Input:

 root = [10,5,15,3,7,13,18,1,null,6], low = 6, high = 10

Output:

 23

Explanation:

 Nodes 6, 7, and 10 are in the range [6, 10]. 6 + 7 + 10 = 23.

 

Constraints:

  • The number of nodes in the tree is in the range [1, 2 * 104].
  • 1 <= Node.val <= 105
  • 1 <= low <= high <= 105
  • All Node.val are unique.

This problem was taken from https://leetcode.com/problems/range-sum-of-bst/

 

[tabby title=”Solution”]

 

DFS Solution

/**
 * Definition for a binary tree node.
 * function TreeNode(val, left, right) {
 *     this.val = (val===undefined ? 0 : val)
 *     this.left = (left===undefined ? null : left)
 *     this.right = (right===undefined ? null : right)
 * }
 */
/**
 * @param {TreeNode} root
 * @param {number} low
 * @param {number} high
 * @return {number}
 */
var rangeSumBST = function(root, low, high) {
    if(!root) {
        return;
    }
    console.log(root.val);
    var queue = [root];
    var visited = {};
    var result = 0.0;    

    function dfsTraverse(root, low, high) {
    
        var childNodes = [root?.left, root?.right];

        for(const childNode of childNodes) {
          if(childNode) {
            var val = childNode.val;
            console.log(val);
            dfsTraverse(childNode, low, high);            
          }
        }

    }

    dfsTraverse(root, low, high);
    return result;
};


 function TreeNode(val, left, right) {
     this.val = (val===undefined ? 0 : val)
     this.left = (left===undefined ? null : left)
     this.right = (right===undefined ? null : right)
 }

const treeNode = new TreeNode(
    10,
    new TreeNode(
        5,
        new TreeNode(3),
        new TreeNode(7)
    ),
    new TreeNode(
        15,
        null,
        new TreeNode(18)
    )
)


rangeSumBST(treeNode, 7, 15);

 

BFS solution

/**
 * Definition for a binary tree node.
 * function TreeNode(val, left, right) {
 *     this.val = (val===undefined ? 0 : val)
 *     this.left = (left===undefined ? null : left)
 *     this.right = (right===undefined ? null : right)
 * }
 */
/**
 * @param {TreeNode} root
 * @param {number} low
 * @param {number} high
 * @return {number}
 */
var rangeSumBST = function(root, low, high) {
    if(!root) {
        return 0;
    }
    var queue = [root];
    var visited = {};
    var result = 0.0;    
    if(root.val >= low && root.val <= high) {
        result = root.val;
    }
    
    var leftPointer = 0;
    while(leftPointer <= queue.length) {
        var curentNode = queue[leftPointer];
        leftPointer ++;
        var childNodes = [curentNode?.left, curentNode?.right];
        
        for(const childNode of childNodes) {
            if(childNode) {
                console.log(childNode.val)
                if(childNode.val >= low && childNode.val <= high) {
                    result += childNode.val;
                }
                queue.push(childNode);
            }
        }
        
           
    }
    return result;
    
};

 

[tabbyending]

Graph traversal

The graph

The graph represent connections between airports. Nodes (vertices)  represent airports, and  edges represent flights.

BFS search (Breadth First Search)

Breadth-first Search (BFS) starts by pushing all of the direct children to a queue (first-in, first-out). It then visits each item in queue and adds the next layer of children to the back of the queue. Since one node could be visited multiple times causing infinite loop, we have to keep track of all visited nodes.

Using JavaScript Map

// DATA
const airports = 'PHX BKK OKC JFK LAX MEX EZE HEL LOS LAP LIM'.split(' ');

const routes = [
    ['PHX', 'LAX'],
    ['PHX', 'JFK'],
    ['JFK', 'OKC'],
    ['JFK', 'HEL'],
    ['JFK', 'LOS'],
    ['MEX', 'LAX'],
    ['MEX', 'BKK'],
    ['MEX', 'LIM'],
    ['MEX', 'EZE'],
    ['LIM', 'BKK'],
];


// The graph
const adjacencyList = new Map();

// Add node
function addNode(airport) {
    adjacencyList.set(airport, []);
}

// Add edge, undirected
function addEdge(origin, destination) {
    adjacencyList.get(origin).push(destination);
    adjacencyList.get(destination).push(origin);
}

// Create the Graph
airports.forEach(addNode);
routes.forEach(route => addEdge(route[0], route[1]));

console.log(adjacencyList);


function bfs(start, searchItem) {

    const visited = new Set();
    const queue = [start];


    while (queue.length > 0) {

        const airport = queue.shift(); // mutates the queue
        const destinations = adjacencyList.get(airport);


        for (const destination of destinations) {
            if (destination === searchItem)  {
                console.log(`BFS found a route to`, searchItem)
            }

            if (!visited.has(destination)) {
                visited.add(destination);
                queue.push(destination);
            }           
        }        
    }

}

bfs('PHX', 'BKK');

 

Using JavaScript object

// Data
var airports = {
    'PHX': ['LAX', 'JFK'],
    'BKK': ['MEX', 'LIM'],
    'OKC': ['JFK'],
    'JFK': ['LAX', 'PHX', 'OKC', 'HEL', 'LOS', 'EZE'],
    'LAX': ['PHX', 'JFK', 'MEX'],
    'MEX': ['LAX', 'EZE', 'BKK', 'LIM'],
    'EZE': ['JFK', 'MEX'],
    'HEL': ['JFK'],
    'LOS': ['JFK'],
    'LAP': [],
    'LIM': ['MEX', 'BKK']
};


function bfs(start, endDest) {
    var queue = [start];
    var visited = {};

    while(queue.length > 0) {
        var curentNodeVal = queue.shift();
        var childNodes = airports[curentNodeVal];
        for(const childNode of childNodes) {
            if(childNode === endDest) {
                console.log("BFS found a route to :", endDest);
            }            

            if(!visited[childNode]) {
                console.log(childNode);
                visited[childNode] = true;
                queue.push( childNode);          
            }
        }
    }
}


bfs('PHX', 'BKK');

 

DFS (Depth First Search)

Depth-first Search (DFS) will go as far into the graph as possible until it reaches a node without any children, at which point it backtracks and continues the process. The algorithm can be implemented with a recursive function that keeps track of previously visited nodes. If a node has not been visited, we call the function recursively.

Using JavaScript Map

// DATA
const airports = 'PHX BKK OKC JFK LAX MEX EZE HEL LOS LAP LIM'.split(' ');

const routes = [
    ['PHX', 'LAX'],
    ['PHX', 'JFK'],
    ['JFK', 'OKC'],
    ['JFK', 'HEL'],
    ['JFK', 'LOS'],
    ['MEX', 'LAX'],
    ['MEX', 'BKK'],
    ['MEX', 'LIM'],
    ['MEX', 'EZE'],
    ['LIM', 'BKK'],
];

// The graph
const adjacencyList = new Map();

// Add node
function addNode(airport) {
    adjacencyList.set(airport, []);
}

// Add edge, undirected
function addEdge(origin, destination) {
    adjacencyList.get(origin).push(destination);
    adjacencyList.get(destination).push(origin);
}

// Create the Graph
airports.forEach(addNode);
routes.forEach(route => addEdge(route[0], route[1]));

console.log(adjacencyList);



function dfs(start, visited = new Set()) {

    console.log(start)
    
    visited.add(start);

    const destinations = adjacencyList.get(start);

    for (const destination of destinations) {

        if (destination === 'BKK') { 
            console.log(`DFS found Bangkok`)
            return;
        }
        
        if (!visited.has(destination)) {
            dfs(destination, visited);
        }

    }

}

dfs('PHX');

Using JavaScript object

// Data
var airports = {
    'PHX': ['LAX', 'JFK'],
    'BKK': ['MEX', 'LIM'],
    'OKC': ['JFK'],
    'JFK': ['LAX', 'PHX', 'OKC', 'HEL', 'LOS', 'EZE'],
    'LAX': ['PHX', 'JFK', 'MEX'],
    'MEX': ['LAX', 'EZE', 'BKK', 'LIM'],
    'EZE': ['JFK', 'MEX'],
    'HEL': ['JFK'],
    'LOS': ['JFK'],
    'LAP': [],
    'LIM': ['MEX', 'BKK']
};


function dfs(start, endDest, visited = {}) {
        
    visited[start] = true;
    console.log(start);

    const destinations = airports[start];

    for(const destination of  destinations) {
        if (destination === endDest) { 
            console.log(`DFS found route to`, endDest);
        }

        if(!visited[destination]) {
            dfs(destination, endDest, visited);
        }
        
    }
}


dfs('PHX', 'BKK');

 

Moving Average from Data Stream

[tabby title=”Task”]

Given a stream of integers and a window size, calculate the moving average of all integers in the sliding window.

Implement the MovingAverage class:

  • MovingAverage(int size) Initializes the object with the size of the window size.
  • double next(int val) Returns the moving average of the last size values of the stream.

 

Example 1:

Input

["MovingAverage", "next", "next", "next", "next"]
[[3], [1], [10], [3], [5]]

Output

[null, 1.0, 5.5, 4.66667, 6.0]

Explanation

MovingAverage movingAverage = new MovingAverage(3);
movingAverage.next(1); // return 1.0 = 1 / 1
movingAverage.next(10); // return 5.5 = (1 + 10) / 2
movingAverage.next(3); // return 4.66667 = (1 + 10 + 3) / 3
movingAverage.next(5); // return 6.0 = (10 + 3 + 5) / 3

 

Constraints:

  • 1 <= size <= 1000
  • -105 <= val <= 105
  • At most 104 calls will be made to next.

[tabby title=”Solution”]

/**
 * @param {number} size
 */
var MovingAverage = function(size) {
    this.n = size;
    this.queue = [];
    this.average = 0.0;
};

/** 
 * @param {number} val
 * @return {number}
 */
MovingAverage.prototype.next = function(val) {
    var removedVal;
    if(this.queue.length >= this.n) {
        removedVal = this.queue.shift();
        this.average = this.average - removedVal;
    }

    this.queue.push(val);
    
    this.average += val;
    console.log(this.average / this.queue.length);
    return this.average / this.queue.length;
};


var movingAverage = new MovingAverage(3);
movingAverage.next(1); // return 1.0 = 1 / 1
movingAverage.next(10); // return 5.5 = (1 + 10) / 2
movingAverage.next(3); // return 4.66667 = (1 + 10 + 3) / 3
movingAverage.next(5); // return 6.0 = (10 + 3 + 5) / 3

 

[tabbyending]

Heaps or priority queues in Java Script

Still work in progress …

 

Part I Heapify …

 

heap-sorting

 

Part II sort and heapify

We start swapping values and heapify each time starting from 0 to the length of i

function heapSort(arr) {

    function maxHeapify(arr, i, N) {
        var leftChild = i * 2 + 1;
        var rightChild = i * 2 + 2;
        var largest = i;
    
        if(leftChild < N && arr[leftChild] > arr[largest]) {
            largest = leftChild;
        }
    
        if(rightChild < N && arr[rightChild] > arr[largest]) {
            largest = rightChild;
        }
    
        if(largest != i) {
            var temp = arr[i];
            arr[i] = arr[largest];
            arr[largest] = temp;
            maxHeapify(arr, largest, N);
        }
    }
    
    // CREATE A HEAP
    for(var i = parseInt(arr.length / 2 - 1); i >= 0; i--) {
        maxHeapify(arr, i, arr.length);
    }
    
    console.log("heap represented in array: ", arr);
    
    // SORT THE ARRAY
    for(var i =  arr.length - 1; i >= 0; i --) {
        var temp = arr[0];
        arr[0] = arr[i];
        arr[i] = temp;
    
        maxHeapify(arr, 0, i);
    }
}

const arr = [4, 6, 3, 2, 9, 1];
heapSort(arr);

console.log("sorted array:", arr);